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Simplifying -5(-3w + 2) + -7w = 2(w + -5) + -2 Reorder the terms: -5(2 + -3w) + -7w = 2(w + -5) + -2 (2 * -5 + -3w * -5) + -7w = 2(w + -5) + -2 (-10 + 15w) + -7w = 2(w + -5) + -2 Combine like terms: 15w + -7w = 8w -10 + 8w = 2(w + -5) + -2 Reorder the terms: -10 + 8w = 2(-5 + w) + -2 -10 + 8w = (-5 * 2 + w * 2) + -2 -10 + 8w = (-10 + 2w) + -2 Reorder the terms: -10 + 8w = -10 + -2 + 2w Combine like terms: -10 + -2 = -12 -10 + 8w = -12 + 2w Solving -10 + 8w = -12 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -10 + 8w + -2w = -12 + 2w + -2w Combine like terms: 8w + -2w = 6w -10 + 6w = -12 + 2w + -2w Combine like terms: 2w + -2w = 0 -10 + 6w = -12 + 0 -10 + 6w = -12 Add '10' to each side of the equation. -10 + 10 + 6w = -12 + 10 Combine like terms: -10 + 10 = 0 0 + 6w = -12 + 10 6w = -12 + 10 Combine like terms: -12 + 10 = -2 6w = -2 Divide each side by '6'. w = -0.3333333333 Simplifying w = -0.3333333333
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